RT Conference Proceedings
T1 Approximation theory for weighted Sobolev spaces on curves
A1 Álvarez, Venancio
A1 Pestana, Domingo
A1 Rodríguez, José M.
A1 Romera, Elena
AB In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete. We also prove the density of the polynomials in these spaces for non-closed compact curves and, finally, we find conditions under which the multiplication operator is bounded on the completion of polynomials. These results have applicationsto the study of zeroes and asymptotics of Sobolev orthogonal polynomials.
PB Universidad de La Rioja
SN 84-95301-56-3
YR 2001
FD 2001
LK https://hdl.handle.net/10016/6490
UL https://hdl.handle.net/10016/6490
LA eng
NO 17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.
NO MR#: MR1882649 (2003c:42002)
NO Research of V. Álvarez, D. Pestana and J.M. Rodríguez partially supported by a grant fromDGI, BFM2000-0206-C04-01, Spain.
DS e-Archivo
RD 17 jul. 2024